Questions: Write a formula that expresses the indicated variation. A varies jointly as j and n Choose the formula that best represents the statement. A. A=k j n B. A=k j/n C. A=k/(j n)

Solution Steps

To express the variation where \( A \) varies jointly as \( j \) and \( n \), we use the concept of joint variation. In joint variation, a variable is directly proportional to the product of two or more other variables. Therefore, the formula that represents this relationship is \( A = k j n \), where \( k \) is the constant of proportionality.

Given that \( A \) varies jointly as \( j \) and \( n \), we can express this relationship with the formula: \[ A = k j n \] where \( k \) is the constant of proportionality.

In this case, we have the values:

• \( j = 2 \)
• \( n = 3 \)
• \( k = 4 \)

Substituting these values into the formula gives: \[ A = 4 \cdot 2 \cdot 3 \]

Now, we perform the multiplication: \[ A = 4 \cdot 2 = 8 \] \[ A = 8 \cdot 3 = 24 \]

Final Answer